New posts in tangent-spaces

Identification of the holomorphic tangent space with the real tangent space

complex-geometry tangent-spaces complex-manifolds almost-complex

The tangent space is well-defined

differential-geometry solution-verification smooth-manifolds tangent-spaces

Lie algebra: intuition of "Lie Algebra is tangent space of corresponding Lie Group"?

definition lie-groups lie-algebras orthogonal-matrices tangent-spaces

Krull's Principal Ideal Theorem for tangent spaces

algebraic-geometry commutative-algebra tangent-spaces co-tangent-space

What is the best way to define the tangent space of a manifold?

differential-geometry manifolds tangent-spaces

How is the inclusion map both an Immersion and Submersion between Manifolds

differential-geometry manifolds smooth-manifolds inclusion-exclusion tangent-spaces

Theorem 8.5 (The chain rule) from "An introduction to manifolds" by Tu - How should I understand the notation $(...)f$ where $f$ is a smooth function?

differential-geometry smooth-manifolds differential chain-rule tangent-spaces

Differential of Multiplication Map of Lie Group

differential-geometry manifolds smooth-manifolds tangent-spaces

Coordinate-free definition of tangent space of differentiable manifold

differential-geometry smooth-manifolds tangent-spaces

Why is the tangent bundle defined using a disjoint union?

differential-geometry differential-topology vector-bundles tangent-bundle tangent-spaces

$T_pS \subseteq T_pM$: Are tangent spaces of submanifolds subsets (and not embedded) of tangent spaces of the original manifold?

geometry differential-geometry manifolds smooth-manifolds tangent-spaces

Hitchin's definition of tangent space and tangent vectors

differential-geometry manifolds smooth-manifolds quotient-spaces tangent-spaces

How do I make sense of the following definitions of tangent vectors?

differential-geometry tangent-spaces

Tangent vectors of smooth manifolds as "modified" derivations?

differential-geometry tangent-spaces

Change of basis in tangent space of $C\equiv x^2+y^2=z^2, \, z>0$

matrices manifolds change-of-basis tangent-spaces